Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/21064
Title: Vertical vibration of an elastic strip footing on saturated soil
Authors: Cai, YQ
Cheng, YM 
Au, SKA
Xu, CJ
Ma, XH
Keywords: Dual integral equations
Dynamic compliance coefficient
Elastic strip footing
Vertical vibration
Issue Date: 2008
Publisher: John Wiley & Sons
Source: International journal for numerical and analytical methods in geomechanics, 2008, v. 32, no. 5, p. 493-508 How to cite?
Journal: International journal for numerical and analytical methods in geomechanics 
Abstract: Based on Biot's dynamic coupled equations, the vertical vibration of an elastic strip footing on the surface of saturated soil is studied. Utilizing the Fourier transform, the governing dynamic differential equations for saturated poroelastic medium are solved. Considering the mixed boundary value conditions at the bottom of the foundation, a pair of dual integral equations about the vertical vibration of an elastic strip footing is derived, which can be converted to a set of linear equations by means of infinite series of orthogonal functions. The relation between the dynamic compliance coefficients and the dimensionless frequency tends to be gentle with decreasing footing rigidity, while the dimensionless frequency has only small effect on the dynamic compliance coefficients. When the dynamic permeability is large, its effect on the dynamic compliance coefficients should be taken into consideration. Furthermore, the dynamic compliance coefficients are found to be not sensitive to Poisson's ratio of the soil for footing on saturated soil.
URI: http://hdl.handle.net/10397/21064
ISSN: 0363-9061
EISSN: 1096-9853
DOI: 10.1002/nag.634
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